# Intermediate Algebra

Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses.

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- Preface
- 1. Foundations
- Introduction
- 1.1. Use the Language of Algebra
- 1.2. Integers
- 1.3. Fractions
- 1.4. Decimals
- 1.5. Properties of Real Numbers

- 2. Solving Linear Equations
- Introduction
- 2.1. Use a General Strategy to Solve Linear Equations
- 2.2. Use a Problem Solving Strategy
- 2.3. Solve a Formula for a Specific Variable
- 2.4. Solve Mixture and Uniform Motion Applications
- 2.5. Solve Linear Inequalities
- 2.6. Solve Compound Inequalities
- 2.7. Solve Absolute Value Inequalities

- 3. Graphs and Functions
- Introduction
- 3.1. Graph Linear Equations in Two Variables
- 3.2. Slope of a Line
- 3.3. Find the Equation of a Line
- 3.4. Graph Linear Inequalities in Two Variables
- 3.5. Relations and Functions
- 3.6. Graphs of Functions

- 4. Systems of Linear Equations
- Introduction
- 4.1. Solve Systems of Linear Equations with Two Variables
- 4.2. Solve Applications with Systems of Equations
- 4.3. Solve Mixture Applications with Systems of Equations
- 4.4. Solve Systems of Equations with Three Variables
- 4.5. Solve Systems of Equations Using Matrices
- 4.6. Solve Systems of Equations Using Determinants
- 4.7. Graphing Systems of Linear Inequalities

- 5. Polynomials and Polynomial Functions
- Introduction
- 5.1. Add and Subtract Polynomials
- 5.2. Properties of Exponents and Scientific Notation
- 5.3. Multiply Polynomials
- 5.4. Dividing Polynomials

- 6. Factoring
- Introduction to Factoring
- 6.1. Greatest Common Factor and Factor by Grouping
- 6.2. Factor Trinomials
- 6.3. Factor Special Products
- 6.4. General Strategy for Factoring Polynomials
- 6.5. Polynomial Equations

- 7. Rational Expressions and Functions
- Introduction
- 7.1. Multiply and Divide Rational Expressions
- 7.2. Add and Subtract Rational Expressions
- 7.3. Simplify Complex Rational Expressions
- 7.4. Solve Rational Equations
- 7.5. Solve Applications with Rational Equations
- 7.6. Solve Rational Inequalities

- 8. Roots and Radicals
- Introduction
- 8.1. Simplify Expressions with Roots
- 8.2. Simplify Radical Expressions
- 8.3. Simplify Rational Exponents
- 8.4. Add, Subtract, and Multiply Radical Expressions
- 8.5. Divide Radical Expressions
- 8.6. Solve Radical Equations
- 8.7. Use Radicals in Functions
- 8.8. Use the Complex Number System

- 9. Quadratic Equations and Functions
- Introduction
- 9.1. Solve Quadratic Equations Using the Square Root Property
- 9.2. Solve Quadratic Equations by Completing the Square
- 9.3. Solve Quadratic Equations Using the Quadratic Formula
- 9.4. Solve Quadratic Equations in Quadratic Form
- 9.5. Solve Applications of Quadratic Equations
- 9.6. Graph Quadratic Functions Using Properties
- 9.7. Graph Quadratic Functions Using Transformations
- 9.8. Solve Quadratic Inequalities

- 10. Exponential and Logarithmic Functions
- Introduction
- 10.1. Finding Composite and Inverse Functions
- 10.2. Evaluate and Graph Exponential Functions
- 10.3. Evaluate and Graph Logarithmic Functions
- 10.4. Use the Properties of Logarithms
- 10.5. Solve Exponential and Logarithmic Equations

- 11. Conics
- Introduction
- 11.1. Distance and Midpoint Formulas; Circles
- 11.2. Parabolas
- 11.3. Ellipses
- 11.4. Hyperbolas
- 11.5. Solve Systems of Nonlinear Equations

- 12. Sequences, Series and Binomial Theorem
- Introduction
- 12.1. Sequences
- 12.2. Arithmetic Sequences
- 12.3. Geometric Sequences and Series
- 12.4. Binomial Theorem

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